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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    To change ⁠ 1 / 3 ⁠ to a decimal, divide 1.000... by 3 (" 3 into 1.000... "), and stop when the desired accuracy is obtained, e.g., at 4 decimals with 0.3333. The fraction ⁠ 1 / 4 ⁠ can be written exactly with two decimal digits, while the fraction ⁠ 1 / 3 ⁠ cannot be written exactly as a

  3. Decimal - Wikipedia

    en.wikipedia.org/wiki/Decimal

    Any such decimal fraction, i.e.: d n = 0 for n > N, may be converted to its equivalent infinite decimal expansion by replacing d N by d N − 1 and replacing all subsequent 0s by 9s (see 0.999...). In summary, every real number that is not a decimal fraction has a unique infinite decimal expansion.

  4. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    For instance, the rational numbers , , and are written as 0.1, 3.71, and 0.0044 in the decimal fraction notation. [100] Modified versions of integer calculation methods like addition with carry and long multiplication can be applied to calculations with decimal fractions. [ 101 ]

  5. Real number - Wikipedia

    en.wikipedia.org/wiki/Real_number

    Such a decimal representation specifies the real number as the least upper bound of the decimal fractions that are obtained by truncating the sequence: given a positive integer n, the truncation of the sequence at the place n is the finite partial sum

  6. Decimal data type - Wikipedia

    en.wikipedia.org/wiki/Decimal_data_type

    Most decimal fractions (or most fractions in general) cannot be represented exactly as a fraction with a denominator that is a power of two. For example, the simple decimal fraction 0.3 (3 ⁄ 10) might be represented as 5404319552844595 ⁄ 18014398509481984 (0.299999999999999988897769…). This inexactness causes many problems that are ...

  7. Fractional part - Wikipedia

    en.wikipedia.org/wiki/Fractional_part

    The fractional part or decimal part [1] of a non‐negative real number is the excess beyond that number's integer part. The latter is defined as the largest integer not greater than x , called floor of x or ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } .

  8. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    A unit fraction is a positive fraction with one as its numerator, 1/ n. It is the multiplicative inverse (reciprocal) of the denominator of the fraction, ...

  9. Fixed-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_arithmetic

    A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...

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